What is the sequence????

Calculus Level 1

What are the next two terms in the sequence?

17 , 15 , 26 , 22 , 35 , 29 , ⋯ 17, 15, 26, 22, 35, 29, \cdots

Details: If your answer is 34 and 58, then write the answer as 3458. Both the terms are of two digits each.


The answer is 4436.

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Pushpesh Kumar by PUSHPESH KUMAR , 21, India

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3 solutions

Hyacinth Muyco
May 17, 2015

0 Helpful 1 Interesting 0 Brilliant 0 Confused
Pushpesh Kumar
Nov 5, 2014

The odd terms(17,26,35) increase by 9 each time, and the even terms(15,22,29) increase by 7 each time. So, the next WO terms must be 44 and 36 giving the answer 4436.

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. .
Mar 15, 2021

I will let the digit which is in the location, odd, be O n O _ { n } , and which is in the location, even, be E n E _ { n } .

The sequence is O n , E n , O n + 9 , E n + 7 , ⋯ O _ { n }, E _ { n }, O _ { n } + 9, E _ { n } + 7, \cdots .

Hence, the answer is 35 + 9 , 29 + 7 → 44 , 36 ⇒ 4436 35 + 9, 29 + 7 \rightarrow 44, 36 \Rightarrow \boxed { 4436 } .

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